Which function has a double root of 3 and a double root of -2

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

C………………………. ……………. …………….

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A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t

irinina [24]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

$\frac{dA}{dx} = -2x^2 + 60x =$

-4x + 60 = 0

-4x = -60

$x = \frac{-60}{-4} = 15$

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

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4 years ago

Kedar is comparing the costs of phone plans. For phone plan A, the cost is $15.00 to connect and then $0.02 per minute. For phon

sp2606 [1]

The two plans don't fall directly on a same prive, but after 3 hours of Data usage plan B costs more than plan A

After three hours plan A= $18.60

While plan B after three hours =$19.09

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The rule per hour is $1.2 per hour for plan A and $4.8 per hour for plan B

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4 years ago

Read 2 more answers

Y=(1/2)^x +2. What is the horizontal asymptote of this function?

professor190 [17]

$\lim_{x\to -\infty} \left(\frac{1}{2}\right)^x+2=\infty+2=\infty\\
\lim_{x\to \infty} \left(\frac{1}{2}\right)^x+2=0+2=2\\$

There is one-sided horizontal asymptote $y=2$